The Germany international was expected to be out of action until the end of the season but could return by the end of March
The Germany international has not featured for Madrid since November 9 after rupturing his cruciate knee ligaments, but he is optimistic about his chances of making a comeback before the end of the 2013-14 campaign.
"It's possible that in two to three weeks I'll be able to train with the squad again. I'm a deeply optimistic person, but I'm not going to put any pressure on myself," Khedira told Sportstudio.
"I do all that the coaches and physiotherapists tell me. I am not worried about what will happen in two months' time.
"If I don't make it to the World Cup I'll be sad. I'm still fighting, though, and everything is in my favour."
Khedira has made 11 La Liga appearances so far this term, scoring once in the process.